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Finding the Fourth Proportional to 1,423.58, 1,965.08 and 1,223.61

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Solution

The fourth proportional to 1,423.58, 1,965.08 and 1,223.61 is: 1,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.58 : 1,965.08 = 1,223.61 : x
  2. Step 2: Convert to fraction form
    1,423.58/1,965.08 = 1,223.61/x
  3. Step 3: Cross multiply
    1,423.58x = 1,965.08 × 1,223.61
  4. Step 4: Simplify right side
    1,423.58x = 2,404,497.38
  5. Step 5: Solve for x
    x = 2,404,497.38/1,423.58
  6. Step 6: Final answer
    x = 1,689.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.